According to the Central Limit Theorem, what is the standard deviation of the approximate distribution of X 36?

Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…

A: Given,mean(μ)=400standard deviation(σ)=60

Q: a normal distribution has a mean of 60 with a standard deviation of 8. for this population, which is…

A: Solution

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A:

Q: The trunk diameter, in centimeters,  of a certain variety of pine tree is represented by X~N(150,…

A: Let X denote the trunk diameter in centimetres of a certain variety of pine tree and it follows…

Q: Claim: The standard deviation of pulse rates of adult males is less than 10 bpm. For a random sample…

A: The objective of the question is to determine if the claim that the standard deviation of pulse…

Q: Assume that readings on thermometers are normally distributed with a mean of 0 and a standard…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean μ=75.0 and a standard…

A:

Q: Assume that adults have IQ scores that are normally distributed with μ=38 and a standard deviation…

A:

Q: Show that the standard deviation of z-scores equals 1

A: z score is given by, z score = x-μσ Where, x: Raw score μ: Population mean. σ: Population standard…

Q: A random sample of size, n=20 has the mean 20 and standard deviation 5. What is the coefficeint of…

A: Given Information: Sample size (n) = 20 Sample mean (x¯) = 20 Sample standard deviation (s) = 5 To…

Q: A customer service representative must spend different amounts of time with each customer to resolve…

A:

Q: The center of a normal curve is the mean of the distribution. O is the standard deviation. O cannot…

A: Answer  The center of a normal curve is the mean of the distribution. It is a bell-shaped curve.…

Q: A normal distribution has a mean of 76 and a standard deviation of Determine the z-score for the…

A: Solution

Q: A distribution has Mean of µ = 100 and Standard Deviation of ? = 20. Use Chebyshev’s Theorem  to…

A:

Q: Bags of jelly beans have a mean weight of 353 gm with a standard deviation of 6 gm. Use Chebyshev's…

A: Chebyshev’s Inequality: By, the Chebyshev’s Inequality, the formula for the lower bound is,…

Q: Body temperatures of adults are normally distributed with a mean of 98.60◦ F and a standard…

A: Given that body  temperatures of adults are normally distributed with a mean of 98.60◦ F and a…

Q: Suppose that x has a normal distribution with mean ? = 50 and standard deviation ? = 5. Find P(x >…

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Q: Sketch a normal distribution/bell curve with a mean of 60 and a standard deviation of 20.  What…

A: Given that  X~Normal( μ=60 , σ=20 )

Q: The variable xx denotes the time taken in seconds for a computer link to be made between the…

A: It is given that the mean is 15 and the standard deviation is 3.

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation of σ = 100.…

A: Obtain the SAT score separates the top 25% of the distribution from the rest. The SAT score…

Q: What is the z-score of x = 9, if it is 0.133 standard deviations to the left of the mean?

A: Given X=9,

Q: A normal distribution has a mean of 20 and a standard deviation of 2. What is the z value of 17.5?

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Q: Assume that a parent distribution is repeatedly sampled, and the same uncertainty is assigned to…

A: We want to tell you above statement is true or false.

Q: Suppose X has a normal distribution with mean 30 and standard deviation five. Between what values of…

A: Empirical rules:1) P(μ-σ<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

Q: Suppose x has a distribution with a mean of 90 and a standard deviation of 12. Random samples of…

A: The sample size is 64 which is sufficiently large (greater than 30) indicating that the sampling…

Q: Suppose that x is normally distributed with a mean of 20 and a standard deviation of 15. What is P(x…

A: given data, normal distribution, μ=20σ=15p(X≥55.40)=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…

Q: In a Normal Distribution with the Mean of 88 and the Standard Deviation of 7, find P (x > 77)

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about…

A:

Q: A distribution is given as X~U (2,10). What is the 75th percentile? What is the 40th percentile?…

A: It is given that the X follows Uniform distribution with a as 2 and b as 10. X ~ U (2, 10).

Q: the annual precipitation has normal distribution with a mean of 109 and standard deviation of 10.…

A: